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Finding the Fourth Proportional to 97.83, 146.85 and 70.83

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Solution

The fourth proportional to 97.83, 146.85 and 70.83 is: 106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.83 : 146.85 = 70.83 : x
  2. Step 2: Convert to fraction form
    97.83/146.85 = 70.83/x
  3. Step 3: Cross multiply
    97.83x = 146.85 × 70.83
  4. Step 4: Simplify right side
    97.83x = 10,401.39
  5. Step 5: Solve for x
    x = 10,401.39/97.83
  6. Step 6: Final answer
    x = 106.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.